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Finding the Third Proportional to 15,384.94 and 27,572.91

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Solution

The third proportional to 15,384.94 and 27,572.91 is: 49,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.94 : 27,572.91 = 27,572.91 : x
  2. Step 2: Convert to fraction form
    15,384.94/27,572.91 = 27,572.91/x
  3. Step 3: Cross multiply
    15,384.94x = 27,572.91 × 27,572.91
  4. Step 4: Simplify right side
    15,384.94x = 760,265,159.07
  5. Step 5: Solve for x
    x = 760,265,159.07/15,384.94
  6. Step 6: Final answer
    x = 49,416.20

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.